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Finding the Fourth Proportional to 902.97, 1,354.65 and 355

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Solution

The fourth proportional to 902.97, 1,354.65 and 355 is: 532.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.97 : 1,354.65 = 355 : x
  2. Step 2: Convert to fraction form
    902.97/1,354.65 = 355/x
  3. Step 3: Cross multiply
    902.97x = 1,354.65 × 355
  4. Step 4: Simplify right side
    902.97x = 480,900.75
  5. Step 5: Solve for x
    x = 480,900.75/902.97
  6. Step 6: Final answer
    x = 532.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.